Use the information about the bakery to explain how a manager can use a system of equations to plan employee time. Include a demonstration of how to solve the system of equations given in the problem and an explanation of how a restaurant manager would schedule oven and employee time.
Answers
20c + 10b = 800
10c + 30b = 900
Multiply the second equation by -2.
20c + 10b = 800
-20c - 60b = -1800
Now it is only to add the two equations.
0 - 50b = -1000
b = -1000/-50
b = 20
Now that we have discovered the 'b' we will substitue in the equation.
10c + 30 . 20 = 900
10c + 600 = 900
10c = 300
c = 300/10
c = 30
b=20 c=30
ok? thanks, i hope i have helped.
Related Questions
The point (-2, 6) is on the line given by which of the equations below?
A.
y = 4x
B.
y = 2x
C.
y = 3x
D.
y = -3x
Answers
for (-2, 6) = (x, y) which also means that x = -2 and y = 6
A/ y = 4x => 6 = 4.(-2) <=> 6 = (-8) Absurd
B/ y = 2.x => 6 = 2.(-2) <=> 6 = (-4) Absurd
C/ y = 3x => 6 = 3.(-2) <=> 6 = (-6) Absurd
D/ y = -3x => 6 = (-3).(-2) <=> 6 = 6 Right Answer
if a metal tool chest has the shape of a prism with a pentagonal base of 6194in squared in area, calculate the volume of the metal chest and pick where length c = 6 inches and length m = 19 inches
Answers
The volume of the metal tool chest is 37,164 cubic inches. To calculate the volume of the metal tool chest, we use the formula for the volume of a prism: Volume = Base area × Height
Given that the pentagonal base has an area of 6194 square inches, and the length c (which represents the height) is 6 inches, we can calculate the volume as follows:
Volume = 6194 in² × 6 in
Volume = 37,164 cubic inches
So, the volume of the metal tool chest is 37,164 cubic inches.
As for the lengths provided:
c = 6 inches (height)
m = 19 inches (unknown side length of the pentagon)
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Please help! Given b = 4 and h = 1, what is the equation of the graph if the parent function is y = sqrt x?
A. y = sqrt (4x - 4)
B. y = sqrt (4x + 4)
C. y = - sqrt (4x - 4)
D. y = - sqrt (4x + 4)
Answers
To solve this problem, we make use of the formula:
y = a sqrt (b (x – h)) + k ---> 1
Since we are given the parent function:
y = sqrt (x) ---> 2
Then this automatically means that:
a = 1 and k = 0
So going back to equation 1 at a = 1 and k = 0:
y = 1 sqrt (b (x – h))
Since it is given that, b = 4 and h = 1, therefore:
y = sqrt (4 (x – 1))
y = sqrt (4 x – 4)
Answer:
A. y = sqrt (4 x – 4)
Sue took a taxi from her home to her friends house. It cost $3.58 per mile and she gave the driver a $5 tip. If she paid $87.34, how many miles does she live from her friend?
Answers
87.34-5 = 82.34
82.34/3.58 = 23
she lives 23 miles away
A basketball is thrown with an initial upward velocity of 25 feet per second from a height of 8 feet above the ground. The equation h=−16 t 2 +25t+8 h=−16t2+25t+8 models the height in feet t seconds after it is thrown. After the ball passes its maximum height, it comes down and then goes into the hoop at a height of 10 feet above the ground. About how long after it was thrown does it go into the hoop?
Answers
-16t^2 + 25t - 2 = 0
t = 1.48 seconds
the leg of a right triangle is 5 units and the hypotenuse is 8 units.what is the length in units of the other leg of the triangle
Answers
If you don't know, the Pythagorean Theorem states that for any right triangle the sum of the squares of both of the legs is equals to the hypotenuse.
[tex]a^2 + b^2 = c^2[/tex]
Where the variables a and b are the legs and c is the hypotenuse.
The variables a and b are interchangeable but not c.
Plug in the values that we know.
[tex]5^2 + b^2 = 8^2[/tex]
[tex]25 + b^2 = 64[/tex]
[tex]b^2 = 39[/tex]
[tex]b = \sqrt{39}[/tex]
So, the other leg is equal to the square root of 39 units.
The square of the hypotenuse is equal to the sum of the square of other two sides. The length in units of the other leg of the triangle is 6.2 units
What is Pythagoras theorem?The square of the hypotenuse is equal to the sum of the square of the other two sides.
Mathematically;
l^2 = a^2 + b^2
Given
l = 8 units
a = 5 units
Substitute
8^2 = 5^2 + b^2
64 - 25 = b^2
b^2 = 6.2units
Hence the length in units of the other leg of the triangle is 6.2 units
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The area of a rectangular wall of a barn is 75 75 square feet. its length is 10 10 feet longer than the width. find the length and width of the wall of the barn.
Answers
A = 75
L = W + 10
75 = W(W + 10)
75 = W^2 + 10W
W^2 + 10W - 75 = 0
(W + 15)(W - 5) = 0
W + 15 = 0
W = -15...not this one because it is negative
W - 5 = 0
W = 5 <=== width is 5 ft
L = W + 10
L = 5 + 10
L = 15 <=== length is 15 ft
First, represent the unknown width as 'x'. Then, because the length is 10 feet more than the width, represent the length as 'x + 10'. Since the area is 75 square feet, set up and solve the equation x*(x + 10) = 75 for 'x'. This will give the width and the length will be this width plus 10 feet.
Explanation:This problem can be solved using algebra. First, let's denote the width of the wall as x in feet. If the length of the wall is 10 feet longer than the width, then we can express the length as x + 10. We're told that the area of the rectangle formed by the wall is 75 square feet. The area of a rectangle is calculated by multiplying its length by its width. Therefore:
x*(x + 10) = 75
You can solve this quadratic equation for x. The positive solution will be the width of the wall and the length will be that value plus 10 feet.
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PQRS is an isosceles trapezoid and m angle Q=127. Find M angle P.
Answers
so m<Q = m<P =127
answer
127
Answer:
[tex]m<P=127\°[/tex]
Step-by-step explanation:
we know that
If the trapezoid PQRS is an isosceles trapezoid
then
[tex]PS=QR[/tex] ----> congruent sides
[tex]m<P=m<Q[/tex] -----> congruent angles
In this problem we have
[tex]m<Q=127\°[/tex]
therefore
[tex]m<P=127\°[/tex]
The parabola has a vertex of (1,-16) and y intercept of (0,-15) that crosses the x axis in two places. one x intercept is (5,0) what is the other x intercept
Answers
y = a(x - 1)^2 - 16 where a is a cosntant
at y intercept we have
-15 = a^2 - 16
a^2 = 1
so equation of the parabola is y = (x-1)^2 - 16
the equation of symmetry is x = 1 and both roots are same distance either side of the point (1,0) so the other x-intercept is 1 - 4 = (-3,0)
Select the additive inverse of 51
Answers
What can we add to 51 to make it equal to 0. Set up an equation.
Let x = the additive inverse of 51
x + 51 = 0
Solve for x.
x + 51 = 0
x = -51 <-- Subtract 51 from both sides
So, -51 is the additive inverse of 51.
Which of the following types of functions cannot have "all real numbers" as either its domain or its range? Exponential function Quadratic function Linear function Inverse Variation function
Answers
For the exponential function:The domain of exponential functions is all real numbers. And the range are all real numbers greater than zero.
For the quadratic function: The domain is all real numbers, and the range is all real numbers f(x) such that f(x) ≤ 4.
For the linear function: Domain and range all real numbers.
For the inverse variation function (hyperbola): two asymptotes are excluded from the domain of all real numbers and one excluded from the range.
So, according to these, the exponential function, the quadratic function and the inverse variation function cannot have "all real numbers" as either its domain or its range. Only the linear has.
What polynomial identity should be used to prove that 20 = 36 − 16
Answers
Diffrence of squares is the correct answer just score pract q
The distance from earth to the moon is about 22^4 miles. the distance from earth to neptune is22^7 miles. which distance is the greatest and by how much
Answers
22^7=22x22x22x22x22x22x22
This means that 22^7 is greater and by the amount of 22^3
What is
5.63×
10
−6
in decimal form?
a. 0.00000563
b. 0.000000563
c.5,630,000
d. 56,300,000
Answers
How you know when there is only one solution triangle possible from a side-side-angle?
Answers
Answer:
There will be only on solution if either of these conditions is met:
the given angle is opposite the longest sidethe triangle is a right triangle (the ratio of the side opposite the angle to the other given side is equal to the sine of the angle)Step-by-step explanation:
Consider the SSA geometry with the angle placed in standard position at the origin and its adjacent given side (the second side of SSA) extending along the +x axis. Draw a circle having a radius equal to the length of the first side of SSA, centered on the vertex between the two segments on the +x axis.
There are three possibilities for the way this circle intersects the other ray of the angle (the ray that is not the x-axis):
the first side is as long or longer than the second side, so there is one point of intersection (one solution to the triangle, purple in the attachment)the first side is just long enough to be tangent to the other ray, so there is one point of intersection (one solution to the triangle, green in the attachment)the first side is between these lengths, so intersects the other ray in two places, giving two solutions to the triangle, red in the attachment.Geometry Question Please Help!!!!
Answers
We have the vertex is (-3,-2) so we have [tex]h=-3[/tex] and [tex]k=-2[/tex]
Substituting -3 and -2 into the [tex]f(x)[/tex]
[tex]f(x)=a(x--3)^{2}+(-2) [/tex]
[tex]f(x)=a(x+3)^{2}-2 [/tex]
Hence, the correct answer is option D
What is 5.928301 to 2 decimal places?
Answers
Final answer:
To round 5.928301 to 2 decimal places, we observe the third decimal place. It's 8, so we round up, making the answer 5.93.
Explanation:
When rounding the number 5.928301 to 2 decimal places, we need to look at the third decimal digit to decide whether to round up or down. Since the third decimal digit (8) is greater than 5, we round up. Therefore, the number 5.928301 rounded to 2 decimal places is 5.93.
Rounding a number to two decimal places involves examining the third decimal digit to determine whether to round up or down. In the case of 5.928301, the third digit is 8, which is greater than 5. Consequently, rounding up is necessary. Thus, the rounded value of 5.928301 to two decimal places is 5.93, emphasizing the role of the third digit in the rounding decision.
Which of the following sets is not finite?
Answers
Whats the perimeter of a rectangle with length 12 m and width 5m
Answers
P = 2 (17)
P = 34 m
hope it helps
a bag contains 5 red marbles, 3 yellow marbles, and 2 blue marbles. Once a marble is drawn, it is not replaced.what is the probability of drawing a blue on the first draw and a second blue marble on the next draw ?
Answers
P(first one being blue) = 2/10 which reduces to 1/5
not replaced
P(second one is blue) = 1/9...because u already pick a blue, meaning there is only 1 left, and there is one less marble, so there is a total of 9 marbles.
P(both events happening) = 1/5 * 1/9 = 1/45 <==
Find the value of x for which abcd must be a parallelogram 5x-1 2x+5
Answers
5 x - 1 = 2 x + 5
5 x - 1 + 1 = 2 x + 5 + 1
5 x - 2 x = 2 x - 2 x + 6
3 x = 6
x = 6 : 3
Answer:
x = 2
if M and N are midpoints in a diagram below, determine values for x and y
Answers
AС = 2*MN
3x + 10 = 2(x+5)
3x + 10 = 2x + 10
3x - 2x = 10 - 10
x = 0
M is a midpoint of AB ⇒
AM = BM
3y - 8 = 2(y+1)
3y - 8 = 2y + 2
3y - 2y = 2 + 8
y = 10
Find 93 • 87 using mental math.
Answers
So 3 x 7= 21
9 X 7 +63, carry the 2 = 651
Then 8 x 93
Remember that first is a zero.
8 X 3= 24
8 X 9= 72, carry the 2= 74
So that is 7440
Now
0651
+7440
8091
And that's the answer
To estimate 93 × 87 using mental math, round 87 to 90, multiply by 93 to get 8370, and subtract 3 × 93 (279) for an estimate of 8091.
To find 93 × 87 using mental math, we can employ a strategy that simplifies the multiplication process. One way is to round one of the numbers to the nearest multiple of ten, perform the multiplication, and then adjust the result accordingly. Here, we can round 87 up to 90 and multiply 93 by 90. This is easier because 90 is a multiple of 10.
93 × 90 = (93 × 9) × 10 = 837 × 10 = 8370
Since we rounded 87 to 90, we overestimated by 3 per unit of 93. Hence, we need to subtract 3 times 93 from 8370.
3 × 93 = 279
Thus, 8370 - 279 = 8091.
find the value of x if f(x) equals 7 f(x) equals 4x minus 1
Answers
Neptune has 8 known moons. This is 2 more than 1/3 of the number of known moons on Saturn. How many moons is Saturn known to have?
Answers
Through setting up and solving the equation 1/3 * x + 2 = 8, where x represents the number of Saturn's moons, it was determined that Saturn is known to have 18 moons.
Explanation:The student's question pertains to a comparison of the moons of Neptune and Saturn, using mathematical operations to deduce the number of known moons of Saturn. First, we're told that Neptune has 8 known moons, which is said to be 2 more than 1/3 of the number of known moons on Saturn. We are seeking to solve for the number of moons that Saturn has.
To find out, we set up an equation where 1/3 of the number of moons of Saturn plus 2 equals the number of Neptune's moons: 1/3 * x + 2 = 8, where x represents the number of Saturn's moons. Solving for x, we subtract 2 from both sides to get 1/3 * x = 6. We then multiply both sides by 3 to isolate x and find that x = 18.
Therefore, Saturn is known to have 18 moons according to the given information.
The length of a rectangle is eight times it's width. If the length was decreased by 10 meters and the width decreased by 2 meters the area would be decreased by 162 m. Find the original dimensions.
Answers
(l-10)*(w-20)=a-162
Substituting l for 8w and a for l*w and then 8w*w, we have
(8w-10)(w-20)=8w^2-162=8w^2-160w-10w+200=8w^2-170w+200
8w^2-170w+200=8w^2-162 , so we subtract 8w^2 from both sides as well as subtract 200 to both to get -170w=-362, so w=362/170 and
l= 8*362/170=2896/170
(06.06) Which of the following demonstrates the Commutative Property of Multiplication? 3(4a − 2) = 12a − 6 3(4a − 2) = (4a − 2) ⋅ 3 12a − 6 = (4a − 2) ⋅ 3 (3 ⋅ 4a) − 2 = 3(4a − 2)
Answers
3(4a - 2) = (4a - 2) * 3 <==
so its the second option:-
3(4a - 2) = (4a - 2).3
Determine whether the sequence shown are arithmetic or geometric 1,8,15,22,29
Answers
8 <--- 1 + 7
15 <--- 8 + 7
22 <--- 15 + 7
29 <--- 22 + 7
is simply adding "7" to get the next value, so is an arithmetic sequence, whose common difference is 7.
Don is 6 feet tall. at a given time of day, he measures his shadow to be 13 feet long. at the same time, he measures the shadow length of a nearby tree to be 51 feet. how tall is the tree
Answers
the equation for this problem would be...
6/13=x/51
you then multpli the denominators on both sides and get...
6*51=13x
you then solve...
306=13x
and then you divide 13 on both sides...
x=23.54ft
the tree is 23.54ft tall
(leave a thanks and a rating if i helped) c:
The height of the tree maintaining the given ratio is 23.54 feet.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Don height = 6 feet
His shadow = 13 feet
The ratio of height to shadow = 6/13
Tree height = x (let's say)
Tree shadow = 51 feet
Ratio = x/51
Both ratios must be the same, therefore,
x/51=6/13
x=23.54 feet
Hence "The height of the tree maintaining the given ratio is 23.54 feet".
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Where do the following graphs intersect? Show how you can find the intersection point algebraically.
1) y-2x=3
2) y-3= x^2
Answers
y-2x = 3
y-2x+2x = 3+2x
y = 2x+3
Plug that into equation (2)
y - 3 = x^2
2x+3 - 3 = x^2
2x = x^2
Get everything to one side
2x = x^2
2x-2x = x^2-2x
0 = x^2-2x
x^2-2x = 0
Now factor and use the zero product property to find the solutions for x
x^2-2x = 0
x(x-2) = 0
x = 0 or x-2 = 0
x = 0 or x = 2
If x = 0, then y is...
y = 2x+3
y = 2(0)+3
y = 3
So (x,y) = (0,3) is one solution of the system. This is one point where the graphs intersect.
If x = 2, then y is...
y = 2x+3
y = 2(2)+3
y = 4+3
y = 7
So (x,y) = (2,7) is another solution to the system. This is another point where the graphs intersect.
See the attached image for a visual. The two curves cross at point A and point B
A = (0,3)
B = (2,7)